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264444242444449 is a prime number
BaseRepresentation
bin111100001000001010111001…
…001000100100000010100001
31021200022121210221020200200021
4330020022321020210002201
5234130123302031210244
62334232001411153441
7106462315564041034
oct7410127110440241
91250277727220607
10264444242444449
117729519a8a37a1
12257ab0958a5881
13b472ca6243732
14494325365101b
152088c05693284
hexf082b92240a1

264444242444449 has 2 divisors, whose sum is σ = 264444242444450. Its totient is φ = 264444242444448.

The previous prime is 264444242444443. The next prime is 264444242444509. The reversal of 264444242444449 is 944444242444462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249724221102225 + 14720021342224 = 15802665^2 + 3836668^2 .

It is a cyclic number.

It is not a de Polignac number, because 264444242444449 - 29 = 264444242443937 is a prime.

It is not a weakly prime, because it can be changed into another prime (264444242444443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132222121222224 + 132222121222225.

It is an arithmetic number, because the mean of its divisors is an integer number (132222121222225).

Almost surely, 2264444242444449 is an apocalyptic number.

It is an amenable number.

264444242444449 is a deficient number, since it is larger than the sum of its proper divisors (1).

264444242444449 is an equidigital number, since it uses as much as digits as its factorization.

264444242444449 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 452984832, while the sum is 61.

The spelling of 264444242444449 in words is "two hundred sixty-four trillion, four hundred forty-four billion, two hundred forty-two million, four hundred forty-four thousand, four hundred forty-nine".